Perfect thermal contact
Perfect thermal contact of the surface of a solid with the environment or another solid occurs when the temperatures of the mating surfaces are equal.Perfect thermal contact supposes that on the boundary surface there holds an equality of the temperatures
and an equality of heat fluxes
where are temperatures of the solid and environment, respectively; are thermal conductivity coefficients of the solid and mating laminar layer, respectively; is normal to the surface.
If there is a heat source on the boundary surface, e.g. caused by sliding friction, the latter equality transforms in the following manner
where is heat-generation rate per unit area.